Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers

E. E. Kara, M. Başarır, M. Mursaleen

In this paper, we apply the Hausdorff measure of noncompactness to obtain the necessary and sufficient conditions for certain matrix operators on the Fibonacci difference sequence spaces $\ell_{p}(\widehat{F})$ and $\ell_{\infty}(\widehat{F})$ to be compact, where $1\leq p<\infty$.